331884 has 48 divisors (see below), whose sum is σ = 985600. Its totient is φ = 94608.

The previous prime is 331883. The next prime is 331889. The reversal of 331884 is 488133.

331884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331884² = 220293978912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 975.

2³³¹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492800).

331884 is an abundant number, since it is smaller than the sum of its proper divisors (653716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331884 is a wasteful number, since it uses less digits than its factorization.

331884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 331884 is about 576.0937423718. The cubic root of 331884 is about 69.2354902763.

The spelling of 331884 in words is "three hundred thirty-one thousand, eight hundred eighty-four".